Poisson structures on double Lie groups

Details Poisson structures on double Lie groups Poisson structures on double Lie groups

1998-01-07

arxiv.org/abs/math/9801028v1

J. Geom. Physics, 26 (1998), 340-379

Mathematics

Differential Geometry

AmSTeX, 37 pages

Scientific paper

10.1016/S0393-0440(97)00063-6

Lie bialgebra structures are reviewed and investigated in terms of the double
Lie algebra, of Manin- and Gau{\ss}-decompositions. The standard R-matrix in a
Manin decomposition then gives rise to several Poisson structures on the
correponding double group, which is investigated in great detail.

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